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Tensor Network Contractions

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Tensor Network Contractions

Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic;

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Introduction to Tensor Network Methods

problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones;

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Tensor Computation for Data Analysis

Tensor is a natural representation for multi-dimensional data, and tensor computation can avoid possible multi-linear data structure loss;

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Tensor Networks for Dimensionality Reduction and Large-scale Optimization

and valuable for the multidisciplinary machine learning and data analytic communities to review tensor decompositions and tensor networks as;

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Modelling Non-Markovian Quantum Systems Using Tensor Networks

represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and;

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Modelling Non-Markovian Quantum Systems Using Tensor Networks

represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and;

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Theory and Computation of Complex Tensors and its Applications

authors design the neural network model for the computation of the rank-one approximation of real tensors, a normalization algorithm to convert;

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Theory and Computation of Complex Tensors and its Applications

authors design the neural network model for the computation of the rank-one approximation of real tensors, a normalization algorithm to convert;

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Nonlinear Analysis, Differential Equations, and Applications

differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash;

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Tensor Calculus

Tensor Calculus while presenting the concepts and techniques begins with a brief introduction and history of tensors, followed by the study;

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Dualizable Tensor Categories

"We investigate the relationship between the algebra of tensor categories and the topology of framed 3-manifolds. On the one hand, tensor;

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Tensor Numerical Methods in Quantum Chemistry

cannot be eliminated by using parallel architectures and high performance computing. The novel tensor numerical methods are based on a smart;

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The Visualization of Second-Order Tensor Fields

of continuous scalar, vector, or second-order tensor fields extending across a n-dimensional space, with n less than 1. While research efforts aimed at;

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From Vectors to Tensors

This textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the;

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Tensor Numerical Methods in Scientific Computing

The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor;

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Tensor Properties of Solids, Part One

Tensor Properties of Solids presents the phenomenological development of solid state properties represented as matter tensors in two parts;

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Tensor Norms And Operator Ideals

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an;

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Tensor Algebra and Tensor Analysis for Engineers

This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor;

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Elements of Tensor Calculus

on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as;

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Tensor Analysis

Tensor calculus is a prerequisite for many tasks in physics and engineering. This book introduces the symbolic and the index notation side;

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Tensor Calculus Made Simple

This book is about tensor analysis. It consists of 169 pages. The language and method used in presenting the ideas and techniques;

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Tensor Categories and Hopf Algebras

This volume contains the proceedings of the scientific session ``Hopf Algebras and Tensor Categories'', held from July 27-28, 2017, at the;

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Matrix and Tensor Decompositions in Signal Processing

very useful tensor networks for the analysis of massive data. Parametric estimation algorithms will be presented for the identification of the;

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Matrix Calculus, Kronecker Product and Tensor Product - A Practical Approach to Linear Algebra, Multilinear Algebra and Tensor Calculus with Software Implementations (3rd Edition)

Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the;

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Verbs

Provides an introduction to the grammar rules and word usage of verbs, discussing present tense, irr;...

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Tensor Algebra and Tensor Analysis for Engineers

This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor;

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